Major Competitive Exams play a crucial role in shaping the academic and professional futures of students in India. These exams not only assess knowledge but also test problem-solving skills and time management. Practicing MCQs and objective questions is essential for scoring better, as they help in familiarizing students with the exam format and identifying important questions that frequently appear in tests.
What You Will Practise Here
Key concepts and theories related to major subjects
Important formulas and their applications
Definitions of critical terms and terminologies
Diagrams and illustrations to enhance understanding
Practice questions that mirror actual exam patterns
Strategies for solving objective questions efficiently
Time management techniques for competitive exams
Exam Relevance
The topics covered under Major Competitive Exams are integral to various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect to encounter a mix of conceptual and application-based questions that require a solid understanding of the subjects. Common question patterns include multiple-choice questions that test both knowledge and analytical skills, making it essential to be well-prepared with practice MCQs.
Common Mistakes Students Make
Rushing through questions without reading them carefully
Overlooking the negative marking scheme in MCQs
Confusing similar concepts or terms
Neglecting to review previous years’ question papers
Failing to manage time effectively during the exam
FAQs
Question: How can I improve my performance in Major Competitive Exams? Answer: Regular practice of MCQs and understanding key concepts will significantly enhance your performance.
Question: What types of questions should I focus on for these exams? Answer: Concentrate on important Major Competitive Exams questions that frequently appear in past papers and mock tests.
Question: Are there specific strategies for tackling objective questions? Answer: Yes, practicing under timed conditions and reviewing mistakes can help develop effective strategies.
Start your journey towards success by solving practice MCQs today! Test your understanding and build confidence for your upcoming exams. Remember, consistent practice is the key to mastering Major Competitive Exams!
Q. A conical pendulum consists of a mass attached to a string that swings in a horizontal circle. If the angle of the string with the vertical is θ, what is the expression for the tension in the string?
A.
mg/cos(θ)
B.
mg/sin(θ)
C.
mg/tan(θ)
D.
mg
Solution
Tension T = mg/cos(θ) to balance the vertical component of weight.
Q. A conical pendulum consists of a mass m attached to a string of length L, swinging in a horizontal circle. What is the expression for the tension in the string?
A.
T = mg
B.
T = mg/cos(θ)
C.
T = mg/sin(θ)
D.
T = m(v²/r)
Solution
In a conical pendulum, T = mg/cos(θ) where θ is the angle with the vertical.
Q. A conical pendulum swings in a horizontal circle. If the angle of the string with the vertical is θ, what is the expression for the tension in the string?
A.
T = mg
B.
T = mg/cos(θ)
C.
T = mg/sin(θ)
D.
T = mg tan(θ)
Solution
The vertical component of tension balances the weight: T cos(θ) = mg, thus T = mg/cos(θ).
Q. A conical pendulum swings in a horizontal circle. If the angle of the string with the vertical is θ, what is the relationship between the tension and the gravitational force acting on the pendulum bob?
A.
T = mg
B.
T = mg cos(θ)
C.
T = mg sin(θ)
D.
T = mg tan(θ)
Solution
The vertical component of tension balances the weight: T cos(θ) = mg.
Q. A conical pendulum swings in a horizontal circle. If the angle of the string with the vertical is θ, what is the relationship between the tension in the string and the gravitational force?
A.
T = mg
B.
T = mg/cos(θ)
C.
T = mg/sin(θ)
D.
T = mg/tan(θ)
Solution
Tension T provides the centripetal force and balances the weight, T = mg/cos(θ).
Q. A conical pendulum swings in a horizontal circle. If the angle of the string with the vertical is θ, what is the relationship between the tension in the string and the gravitational force acting on the pendulum bob?
A.
T = mg
B.
T = mg cos(θ)
C.
T = mg sin(θ)
D.
T = mg tan(θ)
Solution
Tension provides the vertical component to balance the weight: T cos(θ) = mg.
Q. A conical pendulum swings in a horizontal circle. If the angle of the string with the vertical increases, what happens to the tension in the string?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Solution
As the angle increases, the vertical component of tension must increase to balance the weight.
Q. A conical pendulum swings with a constant speed. If the angle of the string with the vertical is θ, what is the expression for the tension in the string?
A.
mg/cos(θ)
B.
mg/sin(θ)
C.
mg/tan(θ)
D.
mg
Solution
Tension T = mg/cos(θ) to balance the vertical component of weight.
Q. A conservation program aims to increase the population of an endangered species by 25% each year. If the current population is 400, what will be the population after 2 years?
A.
500
B.
600
C.
625
D.
700
Solution
After 1 year: 400 + (25% of 400) = 500; After 2 years: 500 + (25% of 500) = 625.
Q. A conservation program aims to increase the population of an endangered species from 300 to 600 in 5 years. What is the required annual growth rate?
A.
10%
B.
15%
C.
20%
D.
25%
Solution
To double the population in 5 years, the annual growth rate must be approximately 25%.
Q. A conservation project aims to plant trees in a deforested area. If they plant 150 trees in the first year and plan to increase the number of trees planted by 10% each subsequent year, how many trees will they plant in the third year?
A.
165 trees
B.
180 trees
C.
195 trees
D.
200 trees
Solution
Year 1: 150 trees. Year 2: 150 + (0.10 * 150) = 165 trees. Year 3: 165 + (0.10 * 165) = 181.5, rounded to 195 trees.
Q. A conservation project costs $1.5 million and is expected to increase biodiversity by 25%. If the current biodiversity index is 40, what will be the new index?
A.
50
B.
45
C.
55
D.
60
Solution
New biodiversity index = Current index + (25% of Current index) = 40 + (0.25 * 40) = 40 + 10 = 50.
Q. A construction project is planned to be completed in 60 days. If 3 workers are assigned and they complete 1/4 of the work in 15 days, how many more workers are needed to finish the project in time?
A.
3
B.
4
C.
2
D.
1
Solution
In 15 days, 3 workers complete 1/4 of the work. The remaining work is 3/4, which needs to be completed in 45 days. The total work is 3 * 15 = 45 worker-days. To finish 3/4 of the work (which is 45 worker-days), we need 45 / 45 = 1 worker. So, 3 more workers are needed.
Q. A container has a mixture of two liquids in the ratio 7:3. If 20 liters of the mixture is removed, what is the new ratio if the remaining mixture is 50 liters?
A.
7:3
B.
6:4
C.
5:5
D.
8:2
Solution
Initial volume = 50 + 20 = 70 liters. A = (7/10) * 70 = 49 liters, B = 21 liters. New ratio = 49:21 = 7:3.
Q. A contest awards 1st place with 10 points, 2nd place with 5 points, and 3rd place with 2 points. If a participant finishes 2nd and 3rd in two different rounds, how many points does the participant earn?
Q. A contest awards 3 prizes of $200, $300, and $500. If the total prize money is distributed equally among 5 winners, how much does each winner receive?
A.
$200
B.
$100
C.
$150
D.
$250
Solution
Total prize money = 200 + 300 + 500 = 1000. Each winner receives = 1000 / 5 = 200.
